Monotonicity and uniqueness of traveling waves for a reaction-diffusion model with a quiescent stage

被引：26

作者：

Zhang, Ping-An ^{[1
]}

Li, Wan-Tong ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 05期

关键词：

Monotonicity; Uniqueness; Traveling waves; Reaction-diffusion equations; Quiescent stage; GLOBAL ASYMPTOTIC STABILITY; SPREADING SPEED; FRONTS; EXISTENCE; EQUATIONS; BEHAVIOR; SYSTEMS; GROWTH;

D O I：

10.1016/j.na.2009.10.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the monotonicity and uniqueness of traveling waves for a reaction-diffusion model with quiescent stage. We first obtain the exponential decay rate of wave profiles, and then we show that any profile is strictly monotone by using the strong comparison principle. Furthermore, we prove the uniqueness (up to translation) of all traveling waves including even the waves with minimal speed. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：2178 / 2189

页数：12

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